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Finding the Fourth Proportional to 550, 824.90 and 203.28

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Solution

The fourth proportional to 550, 824.90 and 203.28 is: 304.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    550 : 824.90 = 203.28 : x
  2. Step 2: Convert to fraction form
    550/824.90 = 203.28/x
  3. Step 3: Cross multiply
    550x = 824.90 × 203.28
  4. Step 4: Simplify right side
    550x = 167,685.67
  5. Step 5: Solve for x
    x = 167,685.67/550
  6. Step 6: Final answer
    x = 304.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.